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44023133311144 = 23131921987590123
BaseRepresentation
bin10100000001001111011110…
…01110010001000010101000
312202212120101212000200100021
422000213233032101002220
521232233334111424034
6233343540453250224
712162365166000511
oct1200475716210250
9182776355020307
1044023133311144
11130331190897a9
124b2bb8a333974
131b74495c59c90
14ac2a33cc9a08
15515221a6b6b4
hex2809ef3910a8

44023133311144 has 96 divisors (see below), whose sum is σ = 93865052625120. Its totient is φ = 19239261305472.

The previous prime is 44023133311127. The next prime is 44023133311151. The reversal of 44023133311144 is 44111333132044.

It is a super-2 number, since 2×440231333111442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74304867 + ... + 74894989.

It is an arithmetic number, because the mean of its divisors is an integer number (977760964845).

Almost surely, 244023133311144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44023133311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932526312560).

44023133311144 is an abundant number, since it is smaller than the sum of its proper divisors (49841919313976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44023133311144 is a wasteful number, since it uses less digits than its factorization.

44023133311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592167 (or 592144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 44023133311144 its reverse (44111333132044), we get a palindrome (88134466443188).

The spelling of 44023133311144 in words is "forty-four trillion, twenty-three billion, one hundred thirty-three million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 1987 2888 3974 4693 7948 9386 15896 18772 25831 37544 37753 51662 75506 103324 151012 206648 302024 490789 590123 717307 981578 1180246 1434614 1963156 2360492 2869228 3926312 4720984 5738456 7671599 9324991 11212337 15343198 18649982 22424674 30686396 37299964 44849348 61372792 74599928 89698696 145760381 213034403 291520762 426068806 583041524 852137612 1166083048 1172574401 1704275224 2345148802 2769447239 4690297604 5538894478 9380595208 11077788956 15243467213 22155577912 22278913619 30486934426 44557827238 60973868852 89115654476 121947737704 178231308952 289625877047 423299358761 579251754094 846598717522 1158503508188 1693197435044 2317007016376 3386394870088 5502891663893 11005783327786 22011566655572 44023133311144